Gaya Froude–Krylov

Dalam dinamika fluida, gaya Froude–Krylov—sering pula disebut sebagai gaya Froude–Kriloff—adalah sebuah gaya hidrodinamis yang namanya berasal dari nama William Froude dan Alexei Krylov. Gaya Froude–Krylov adalah gaya yang disebabkan oleh medan tekanan akibat gelombang yang dianggap tidak terpengaruh oleh keberadaan objek yang dilewatinya. Gaya Froude–Krylov melengkapi gaya difraksi dengan memperhitungan gaya nonviskos yang bekerja pada objek terapung. Gaya difraksi, di sisi lain, bekerja akibat objek terapung yang memengaruhi gelombang.

Rumus

Gaya Froude–Krylov dapat dihitungan dengan rumus:

{\vec {F}}_{FK}=-\iint _{S_{w}}p~{\vec {n}}~ds,

dengan

${\vec {F}}_{FK}$ merupakan gaya Froude–Krylov,
$S_{w}$ merupakan bagian permukaan objek terapung yang tergenang,
$p$ merupakan tekanan dalam gelombang yang tidak terpengaruh, dan
${\vec {n}}$ merupakan vektor normal objek yang mengarah ke air.

Dalam kasus paling sederhana, rumus ini dapat didefinisikan sebagai perkalian antara luas permukaan yang tergenang dan tekanan dinamis yang diterima oleh objek:

F_{FK}=A\cdot p_{dyn}

Tekanan dinamis pada titik terdekat dengan permukaan, $p_{dyn}$ , didefinisikan sebagai:

p_{dyn}=\rho \cdot g\cdot H/2

dengan

$\rho$ merupakan massa jenis air laut (sekitar 1030 kg/m³)
$g$ merupakan percepatan gravitasi Bumi (9.81 m/s²)
$H$ merupakan tinggi gelombang (dari puncak ke lembah).

Referensi

Faltinsen, O. M. (1990). Sea Loads on Ships and Offshore Structures. Cambridge University Press. ISBN 978-0-521-45870-2.

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